TSTP Solution File: GRP022-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP022-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:20:23 EDT 2023
% Result : Unsatisfiable 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 8 (; 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,plain,
$false,
inference(subsumption_resolution,[],[f46,f9]) ).
fof(f9,plain,
a != sF1,
inference(definition_folding,[],[f6,f8,f7]) ).
fof(f7,plain,
inverse(a) = sF0,
introduced(function_definition,[]) ).
fof(f8,plain,
inverse(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f6,axiom,
a != inverse(inverse(a)),
file('/export/starexec/sandbox/tmp/tmp.9GPS7IIVXP/Vampire---4.8_21117',prove_inverse_of_inverse_is_original) ).
fof(f46,plain,
a = sF1,
inference(forward_demodulation,[],[f42,f4]) ).
fof(f4,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox/tmp/tmp.9GPS7IIVXP/Vampire---4.8_21117',right_identity) ).
fof(f42,plain,
sF1 = multiply(a,identity),
inference(superposition,[],[f37,f16]) ).
fof(f16,plain,
identity = multiply(sF0,sF1),
inference(superposition,[],[f5,f8]) ).
fof(f5,axiom,
! [X0] : identity = multiply(X0,inverse(X0)),
file('/export/starexec/sandbox/tmp/tmp.9GPS7IIVXP/Vampire---4.8_21117',right_inverse) ).
fof(f37,plain,
! [X12] : multiply(a,multiply(sF0,X12)) = X12,
inference(forward_demodulation,[],[f25,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.9GPS7IIVXP/Vampire---4.8_21117',left_identity) ).
fof(f25,plain,
! [X12] : multiply(a,multiply(sF0,X12)) = multiply(identity,X12),
inference(superposition,[],[f3,f15]) ).
fof(f15,plain,
identity = multiply(a,sF0),
inference(superposition,[],[f5,f7]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.9GPS7IIVXP/Vampire---4.8_21117',associativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP022-2 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 02:52:02 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.9GPS7IIVXP/Vampire---4.8_21117
% 0.15/0.36 % (21232)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (21239)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.21/0.42 % (21235)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.42 % (21234)lrs+10_5_av=off:drc=off:fde=none:nwc=1.1:sp=scramble:to=lpo:tgt=ground:stl=62_518 on Vampire---4 for (518ds/0Mi)
% 0.21/0.42 % (21233)lrs+10_4:3_av=off:bd=preordered:drc=off:fde=unused:nwc=1.7:sp=weighted_frequency:to=lpo:tgt=ground:stl=125_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.42 % (21237)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.21/0.42 % (21236)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.21/0.42 % (21238)dis+10_50_av=off:bd=preordered:drc=off:fde=unused:nwc=1.5:sims=off:sp=reverse_weighted_frequency:to=lpo_239 on Vampire---4 for (239ds/0Mi)
% 0.21/0.42 % (21239)First to succeed.
% 0.21/0.42 % (21233)Also succeeded, but the first one will report.
% 0.21/0.42 % (21236)Also succeeded, but the first one will report.
% 0.21/0.42 % (21239)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42 % (21239)------------------------------
% 0.21/0.42 % (21239)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (21239)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (21239)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (21239)Memory used [KB]: 895
% 0.21/0.42 % (21239)Time elapsed: 0.005 s
% 0.21/0.42 % (21239)------------------------------
% 0.21/0.42 % (21239)------------------------------
% 0.21/0.42 % (21232)Success in time 0.061 s
% 0.21/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------